Question

naming & measuring angles
an angle is a figure made up of two rays, or sides, that have a common endpoint, called the vertex of the angle.
the vertex is y. the sides are yx and yz.
there are four ways to name this angle.
name each angle in three ways.
1.
2.

1. name three different angles in the figure.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex (if there is only one angle at that vertex), by the vertex in the middle of two points on the rays, and by a number.

Step2: Name the angle in question 1

• By vertex: $\angle Q$
• By points: $\angle PQR$ or $\angle RQP$
• By number: $\angle 1$

Step3: Name the angle in question 2

• By vertex: $\angle J$
• By points: $\angle HJK$ or $\angle KJH$
• There is no number given for this angle.

Step4: Name the angles in question 3

• $\angle ABD$
• $\angle DBC$
• $\angle ABC$

Answer:

1. $\angle Q$, $\angle PQR$, $\angle 1$
2. $\angle J$, $\angle HJK$, $\angle KJH$
3. $\angle ABD$, $\angle DBC$, $\angle ABC$